For the following recurrence, give a closed-form solution. You should not give an exact solution, but only

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For the following recurrence, give a closed-form solution. You should not give an exact solution, but only an asymptotic solution (i.e., using Θ notation).

You may assume that n is a power of 2. Prove that your answer is correct.

T(n) = T(n/2) + n for n > 1; T(1) = 1.

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